gives the number of prime factors counting multiplicities in n.
Details and Options
- Integer mathematical function, suitable for both symbolic and numerical manipulation.
- For a number with a unit and primes, PrimeOmega[n] returns k1+⋯+km.
- PrimeOmega[n,GaussianIntegers->True] gives the number of Gaussian prime factors in n.
- PrimeOmega is a completely additive number theoretic function.
Introduced in 2008